Abstract.
A generalization of the two-by-two rotation technique is proposed, permitting a whole row (column) of the matrix to be treated simultaneously. The method is based on the explicit analytical evaluation of the matrix exponent representing a symmetric combination of the individual rotations. Besides constructing the unitary transformation matrices, a new orthogonalization algorithm is also proposed. The resulting “unitary perturbation theory” and orthogonalization method may be useful in different areas.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 15 November 1999 / Accepted: 30 January 2000 / Published online: 19 April 2000
Rights and permissions
About this article
Cite this article
Mayer, I. Unitary perturbation theory: a generalization of two-by-two rotations. Theor Chem Acc 104, 163–166 (2000). https://doi.org/10.1007/s002140000124
Issue Date:
DOI: https://doi.org/10.1007/s002140000124